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Popular >

extreme f(x)=40x-3x^2

Solution

extreme points

f (x) = 40 x - 3 x^{2}

Solution

Maximum (\frac{20}{3}, \frac{400}{3})

Solution steps

f^{'} (x) = 40 - 6 x

Find intervals:

Increasing

: - \infty < x < \frac{20}{3},

Decreasing

: \frac{20}{3} < x < \infty

Plug

x = \frac{20}{3}

into

40 x - 3 x^{2} : \frac{400}{3}

Maximum (\frac{20}{3}, \frac{400}{3})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=40x-3x^2 ?
The extreme f(x)=40x-3x^2 is Maximum(20/3 , 400/3)